A uniform square plate has a small piece \(Q\) of an irregular shape removed and glued to the center of the plate leaving a hole behind in the figure. The \(COM\) of the plate is now in the following quadrant of the \(x\text-y\) plane.
1. \(\text{I}\)
2. \(\text{II}\)
3. \(\text{III}\)
4. \(\text{IV}\)
(c) Hint: The moment of inertia depends on mass distribution.
Step 1: Find the location of the centre of mass.
Consider the adjacent diagram, there is a line shown in the figure drawn along the diagonal. First, the center of mass of the system was on the dotted line and was shifted towards Q from the center (1st quadrant).
When the mass is removed, it will be on the same line but shifted away from the center and below (IIrd quadrant). The position of CM is shown by X in the diagram.
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